Final answer:
To estimate the number of people who can stand in a 500 yds x 700 yds area, you convert the area to feet, calculate the total available area, and divide by the area occupied by 21 people. The calculation suggests that about 859,089 people can fit, which exceeds the largest given option of 21,000 people.
Step-by-step explanation:
To estimate the number of people who can stand in an area that is 500 yds x 700 yds, given that 21 people can fit into a space that is 11 ft x 7 ft, we need to convert the units and calculate the total area available.
First, convert yards to feet (1 yard = 3 feet) so, 500 yds x 700 yds becomes 1500 ft x 2100 ft. Next, calculate the area in feet: 1500 ft x 2100 ft = 3,150,000 ft².
Now, determine the area that 21 people occupy: 11 ft x 7 ft = 77 ft². This means that 21 people fit into 77 ft².
To find out how many groups of 21 people can fit into 3,150,000 ft², simply divide the total area by the group area: 3,150,000 ft² / 77 ft² which gives us approximately 40,909 groups of 21 people.
To find the total number of people, multiply the number of groups by the number of people in each group: 40,909 groups x 21 people/group. This results in approximately 859,089 people.
The closest answer to our estimate, given the options, would be option D, which is 21,000 people. However, this is significantly lower than our calculated estimate, which suggests that the actual possible number may be much higher.